Alexander Malkis <firstname.lastname@example.org> wrote in message news:<email@example.com>... > Your game doesn't terminate in a finite time. And at each time point the > intersection contains intinitely many rational and irrational points. So > the game is not well formulated. > > Best regards, > Alex. > > PS. To email me, remove "loeschedies" from the email address given.
No, actually, the game doesn't terminate in a finite time. But I think it's well defined, because there's one, and only one, real number common to all of the intervals. There's no ambiguity. Artur